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Finding the Fourth Proportional to 1,561.64, 2,155.93 and 1,065.01

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Solution

The fourth proportional to 1,561.64, 2,155.93 and 1,065.01 is: 1,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.64 : 2,155.93 = 1,065.01 : x
  2. Step 2: Convert to fraction form
    1,561.64/2,155.93 = 1,065.01/x
  3. Step 3: Cross multiply
    1,561.64x = 2,155.93 × 1,065.01
  4. Step 4: Simplify right side
    1,561.64x = 2,296,087.01
  5. Step 5: Solve for x
    x = 2,296,087.01/1,561.64
  6. Step 6: Final answer
    x = 1,470.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.